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Finding the Third Proportional to 614,647.13 and 933,043.88

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Solution

The third proportional to 614,647.13 and 933,043.88 is: 1,416,375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,647.13 : 933,043.88 = 933,043.88 : x
  2. Step 2: Convert to fraction form
    614,647.13/933,043.88 = 933,043.88/x
  3. Step 3: Cross multiply
    614,647.13x = 933,043.88 × 933,043.88
  4. Step 4: Simplify right side
    614,647.13x = 870,570,872,675.02
  5. Step 5: Solve for x
    x = 870,570,872,675.02/614,647.13
  6. Step 6: Final answer
    x = 1,416,375.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.